Final answer:
The inequality 17 + 1.5x > 40 represents a situation where someone has $17 and saves $1.5 daily to buy an item costing over $40. After 16 days of saving, they will have saved enough money.
Step-by-step explanation:
Let's model the inequality 17 + 1.5x > 40 with a real-life situation. Imagine you are saving money to buy an item that costs $40. You already have $17, and you plan to save $1.5 each day until you have enough to make the purchase. To find out how many days x it will take until you have saved more than $40, you can use the given inequality.
- Subtract 17 from both sides of the inequality to isolate the variable term on one side:
- 1.5x > 40 - 17
- Perform the subtraction to find the new inequality:
- 1.5x > 23
- Divide both sides by 1.5 to solve for x:
- x > 23 / 1.5
- Calculate the result to determine the number of days needed:
- x > 15.33
So, you need to save for more than 15.33 days to have over $40. This indicates you'll have enough money after 16 full days of saving $1.5 per day.